Least Common Multiple of 763 and 767
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 763 and 767 the smallest integer that is 585221 that is divisible by both numbers.
Least Common Multiple (LCM) of 763 and 767 is 585221.
LCM(763,767) = 585221
LCM of 763 and 767
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 763 and 767 by Prime method
- Least Common Multiple of 763 and 767 with GCF Formula
LCM of 763 and 767 is 585221
Least common multiple can be found by multiplying the highest exponent prime factors of 763 and 767. First we will calculate the prime factors of 763 and 767.
Prime Factorization of 763
| 7 | 763 |
| 109 | 109 |
| 1 |
Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:
763 = 71×1091
Prime Factorization of 767
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:
767 = 131×591
Now multiplying the highest exponent prime factors to calculate the LCM of 763 and 767.
LCM(763,767) = 71×131×591×1091
LCM(763,767) = 585221
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Least Common Multiple of 763 and 767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 763 and 767, than apply into the LCM equation.
GCF(763,767) = 1
LCM(763,767) = ( 763 × 767) / 1
LCM(763,767) = 585221 / 1
LCM(763,767) = 585221
Properties of LCM 763 and 767
(i) The LCM of 767 and 763 is associative
LCM of 763 and 767 = LCM of 767 and 763
Related Least Common Multiples of 763
Related Least Common Multiples of 767
Frequently Asked Questions on LCM of 763 and 767
1. What is the LCM of 763 and 767?
Answer: LCM of 763 and 767 is 585221.
2. What are the Factors of 763?
Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.
3. What are the Factors of 767?
Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.
4. How to Find the LCM of 763 and 767?
Answer:
Least Common Multiple of 763 and 767 = 585221
Step 1: Find the prime factorization of 763
763 = 7 x 109
Step 2: Find the prime factorization of 767
767 = 13 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 585221 = 7 x 13 x 59 x 109
Step 4: Therefore, the least common multiple of 763 and 767 is 585221.
